313034121002137 has 2 divisors, whose sum is σ = 313034121002138. Its totient is φ = 313034121002136.

The previous prime is 313034121002129. The next prime is 313034121002179. The reversal of 313034121002137 is 731200121430313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218806932431376 + 94227188570761 = 14792124^2 + 9707069^2 .

It is a cyclic number.

It is not a de Polignac number, because 313034121002137 - 2³ = 313034121002129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313034121002099 and 313034121002108.

It is not a weakly prime, because it can be changed into another prime (313034121102137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156517060501068 + 156517060501069.

It is an arithmetic number, because the mean of its divisors is an integer number (156517060501069).

Almost surely, 2^{313034121002137} is an apocalyptic number.

It is an amenable number.

313034121002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313034121002137 is an equidigital number, since it uses as much as digits as its factorization.

313034121002137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 313034121002137 in words is "three hundred thirteen trillion, thirty-four billion, one hundred twenty-one million, two thousand, one hundred thirty-seven".